8082815004 has 216 divisors, whose sum is σ = 24042367440. Its totient is φ = 2280960000.

The previous prime is 8082815003. The next prime is 8082815009. The reversal of 8082815004 is 4005182808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8082815004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082815003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5047804 + ... + 5049404.

Almost surely, 2^8082815004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082815004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12021183720).

8082815004 is an abundant number, since it is smaller than the sum of its proper divisors (15959552436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8082815004 is a wasteful number, since it uses less digits than its factorization.

8082815004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8082815004 is about 89904.4771076502. The cubic root of 8082815004 is about 2006.8775727204.

The spelling of 8082815004 in words is "eight billion, eighty-two million, eight hundred fifteen thousand, four".